* Frequency (f): This is the number of wave cycles that pass a fixed point in one second. It's measured in Hertz (Hz).
* Velocity (v): This is the speed at which a wave travels through a medium. It's measured in meters per second (m/s).
The Relationship:
The relationship between frequency and velocity is defined by the wavelength (λ) of the wave:
* v = fλ
This equation tells us that the velocity of a wave is equal to the product of its frequency and wavelength.
Here's what this means:
* Higher frequency = shorter wavelength: If the frequency of a wave increases, its wavelength decreases to maintain the same velocity.
* Lower frequency = longer wavelength: If the frequency of a wave decreases, its wavelength increases to maintain the same velocity.
Example:
Imagine a wave on a rope. If you shake the rope faster, the frequency increases, the distance between the crests (wavelength) decreases, but the speed at which the wave travels along the rope remains the same.
Important Note:
* This relationship holds true for all types of waves, including sound waves, light waves, and water waves.
* The velocity of a wave can vary depending on the medium it travels through. For example, sound travels faster in solids than in air.
Let me know if you'd like more specific examples or further explanation!
